Least Common Multiple of 17/829, 51/635, 311/764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/829, 51/635, 311/764 quickly i.e. 15861 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/829, 51/635, 311/764 is 15861.

LCM(17/829, 51/635, 311/764) = 15861

LCM of 17/829, 51/635, 311/764

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 17/829,51/635,311/764

Given numbers are 17/829,51/635,311/764

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 17,51,311

Least Common Multiple of Numerators i.e. LCM of 17,51,311 is 15861.

GCF of Denominators means GCF of 829,635,764 as per the given fractions.

GCF of 829,635,764 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,51,311

LCM of Fractions 17/829,51/635,311/764 is 15861

17 17, 51, 311
1, 3, 311

∴ So the LCM of the given numbers is 17 x 1 x 3 x 311 = 15861

Least Common Multiple of 17,51,311 with GCF Formula

Least Common Multiple of 17,51,311 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 17,51,311 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,51,311) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(17,51,311) x common factors =1 x 17 = 17

LCM(17,51,311) = ( 17 × 51 × 311 ) / 17

LCM(17,51,311) = 269637 / 17

LCM(17,51,311) = 15861


Lets's calculate GCF of 829,635,764

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15861/1

Therefore the LCM of Fractions 17/829,51/635,311/764 is 15861

Greatest Common Factor of 829,635,764 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,635,764 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Greatest Common Factor

We found the factors 829,635,764 . The biggest common factor number is the GCF number.
So the greatest common factor 829,635,764 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 17/829, 51/635, 311/764

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 17/829, 51/635, 311/764?

Answer: LCM of Numerators as per given numbers 17/829, 51/635, 311/764 is

LCM of Numerators i.e. for 17,51,311 is 15861

GCF of denominators i.e. for 829,635,764 is 1.

Thus, LCM of Fractions is 15861.Finally, LCM of Fractions for 17/829, 51/635, 311/764 is 15861.